Search a number
-
+
10023302011220 = 2251729480300033
BaseRepresentation
bin1001000111011011101101…
…0110110001100101010100
31022111012220011002001220222
42101312323112301211110
52303210210303324340
633152350312013512
72053105524231131
oct221667326614524
938435804061828
1010023302011220
113214949750a33
12115a6bb691298
1357926896aa44
142691b7b95588
15125ae0a0c8b5
hex91dbb5b1954

10023302011220 has 24 divisors (see below), whose sum is σ = 22287106825704. Its totient is φ = 3773478404096.

The previous prime is 10023302011213. The next prime is 10023302011249. The reversal of 10023302011220 is 2211020332001.

It can be written as a sum of positive squares in 4 ways, for example, as 201935194384 + 9821366816836 = 449372^2 + 3133906^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14740149677 + ... + 14740150356.

It is an arithmetic number, because the mean of its divisors is an integer number (928629451071).

Almost surely, 210023302011220 is an apocalyptic number.

10023302011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023302011220 is an abundant number, since it is smaller than the sum of its proper divisors (12263804814484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023302011220 is a wasteful number, since it uses less digits than its factorization.

10023302011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29480300059 (or 29480300057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10023302011220 its reverse (2211020332001), we get a palindrome (12234322343221).

The spelling of 10023302011220 in words is "ten trillion, twenty-three billion, three hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29480300033 58960600066 117921200132 147401500165 294803000330 501165100561 589606000660 1002330201122 2004660402244 2505825502805 5011651005610 10023302011220